11677662788673 has 32 divisors (see below), whose sum is σ = 17960626604800. Its totient is φ = 6610684720896.

The previous prime is 11677662788657. The next prime is 11677662788719. The reversal of 11677662788673 is 37688726677611.

It is not a de Polignac number, because 11677662788673 - 2⁴ = 11677662788657 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11677662788595 and 11677662788604.

It is not an unprimeable number, because it can be changed into a prime (11677662788573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14187543 + ... + 14988051.

It is an arithmetic number, because the mean of its divisors is an integer number (561269581400).

Almost surely, 2^{11677662788673} is an apocalyptic number.

It is an amenable number.

11677662788673 is a deficient number, since it is larger than the sum of its proper divisors (6282963816127).

11677662788673 is a wasteful number, since it uses less digits than its factorization.

11677662788673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807001.

The product of its digits is 1194891264, while the sum is 75.

The spelling of 11677662788673 in words is "eleven trillion, six hundred seventy-seven billion, six hundred sixty-two million, seven hundred eighty-eight thousand, six hundred seventy-three".